Lift that washer that sits on top the clutch up and off the shaft.Then remove the "C" clip that holds the clutch down on the gear box.Once the "C" clip has been removed you can lift the clutch up and off the gear box.

Then post another photo of the top of the gear box were the shaft is.From what I can see in the photos you posted it does not look all the oily.

Lets see what the top of the gear box looks like without the clutch on it.